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Equation 5 · Part 1 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol Gamma

Γ={xt}0τ\Gamma = \{x_t\}_{0}^{\tau}
Γ\Gamma

What this part means

Gamma is part of the quantity the equation computes from the expression on the right.

Its job in the formula

Gamma is part of the quantity the equation computes from the expression on the right.

The passage around this formula

Consider a mesoscopic system coupled to a heat bath at temperature T . Its state xtx_t follows noisy dynamics under a time-dependent protocol λt\lambda_t . A trajectory over 0≤\le t≤\leτ\tau is denoted Γ\Gamma = \{xtx_t\}_{0}^{τ\tau} . The corresponding reverse experiment begins from the appropriate final ensemble, applies the reversed protocol, and generates a conjugate path Γ†\Gamma^\dagger .

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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